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Control performance‐based fault detection and fault‐tolerant control schemes for a class of nonlinear systems
Author(s) -
Han Huayun,
Yang Ying,
Li Linlin,
Ding Steven X.
Publication year - 2019
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4828
Subject(s) - nonlinear system , control theory (sociology) , fault (geology) , representation (politics) , computer science , fault detection and isolation , fault tolerance , kernel (algebra) , controller (irrigation) , stability (learning theory) , control system , control engineering , control (management) , engineering , mathematics , artificial intelligence , actuator , distributed computing , machine learning , law , biology , quantum mechanics , political science , agronomy , physics , combinatorics , seismology , politics , electrical engineering , geology
Summary The objective of this paper is to develop performance‐based fault detection (FD) and fault‐tolerant control (FTC) schemes for a class of nonlinear systems. To this end, the representation forms of nonlinear systems with faults and the controller parameterization forms are studied first with the aid of the nonlinear factorization technique. Then, based on the stable kernel representation and the stable image representation of the faulty nonlinear system, the stability performance of the closed‐loop system is addressed, respectively. The so‐called fault‐tolerant margin is defined to evaluate the system fault‐tolerant ability. On this basis, two performance‐based FD schemes are developed aiming at detecting the system performance degradation caused by system faults. Furthermore, to recover the system stability performance, two performance‐based FTC strategies are proposed based on the information provided by the FD unit. In the end, a numerical example and a case study on the three‐tank system are given to demonstrate the proposed results.